What is expand log_{10}(7)(3x-2) ?

The solution to expand log_{10}(7)(3x-2) is 3log_{10}(7)x-2log_{10}(7)

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expand log_{10}(7)(3x-2)

expand

lo g_{10} (7) (3 x - 2)

3 lo g_{10} (7) x - 2 lo g_{10} (7)

Solution steps

lo g_{10} (7) (3 x - 2)

Apply the distributive law:

a (b - c) = ab - a c

lo g_{10} (7) (3 x - 2) = lo g_{10} (7) \cdot 3 x - lo g_{10} (7) \cdot 2

= lo g_{10} (7) \cdot 3 x - lo g_{10} (7) \cdot 2

Simplify

lo g_{10} (7) \cdot 3 x - lo g_{10} (7) \cdot 2 : 3 lo g_{10} (7) x - 2 lo g_{10} (7)

= 3 lo g_{10} (7) x - 2 lo g_{10} (7)

f^{6} (x)

(\frac{1}{3 x ^{2} y ^{- 3}})^{- 2}

4 x^{10} - 2

4033826 - 20201224 - o^{1}

\frac{6 \cdot e ^{- 3} x}{3}

What is expand log_{10}(7)(3x-2) ?
The solution to expand log_{10}(7)(3x-2) is 3log_{10}(7)x-2log_{10}(7)